symmlet
Symmlet, short for symmetric wavelet, refers to a family of orthogonal, compactly supported wavelets that are nearly symmetric. They were developed as a variation of the Daubechies wavelets to combine the favorable localization and vanishing moment properties of Daubechies with greater symmetry in the wavelet and scaling functions. The family is typically denoted symN, where N indicates the number of vanishing moments and roughly corresponds to the filter length; common members include sym2, sym4, sym6, and sym8.
Construction and properties: Symmlets are built from a finite impulse response scaling filter and a corresponding
Key characteristics include compact support, orthogonality, and a prescribed number of vanishing moments. The degree of
Applications: Symmlets are used in signal and image processing tasks such as denoising, compression, texture analysis,
See also: Daubechies wavelets, wavelet transform, orthogonal wavelets, vanishing moments.